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Finding the Third Proportional to 376,420 and 804,584

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Solution

The third proportional to 376,420 and 804,584 is: 1,719,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,420 : 804,584 = 804,584 : x
  2. Step 2: Convert to fraction form
    376,420/804,584 = 804,584/x
  3. Step 3: Cross multiply
    376,420x = 804,584 × 804,584
  4. Step 4: Simplify right side
    376,420x = 647,355,413,056
  5. Step 5: Solve for x
    x = 647,355,413,056/376,420
  6. Step 6: Final answer
    x = 1,719,768.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.